By "warm" I mean after having driven for about an hour in mixed conditions (inner city, country roads, short stretches of Autobahn). Maybe what it felt to me was off, but a test in a respected motor magazine I read recently (done in conjunction with the independent TUV organisation that in Germany is also responsible for the mandatory tests that your car has to pass bi-annually to be legally roadworthy) confirmed what the cars felt to me. That's also where I got the exact numbers. And by the way, according to that test, it took 3.4 seconds from 31 to 60, not 1.1 seconds. All under "warm" conditions. And I am sure that didn't mean "overheating", because they tested all cars under "cold" and "warm" conditions, just as I did on my test drives. And they explicitly mentioned that the P85+ lost far more in acceleration than the others. And even though I can't confirm the exact numbers from my own experience of course, I can confirm that it certainly felt that way to me too. Not that the P85+ acceleration didn't feel impressive for a car of its size and weight even under "warm" (i.e. after having driven for a while) conditions, but still.
Here are the exact 0-60 times they measured under cold / warm conditions.
Nissan Leaf: 11.1 / 11.5
Smart ED: 10.7 / 10.9
Model S P85+: 4.7 / 6.5
BMW i3: 7.3 / 7.3
VW e-Golf: 10.3 / 10.4
If you are interested, I can mail you the pdf with the complete test, but it is in German.